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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Solved: One type of steel has a density of 7.8 × 103 kg/m3

Chapter 15, Problem 83P

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QUESTION:

Problem 83P

One type of steel has a density of 7.8 × 103 kg/m3 and a breaking stress of 7.0 × 108 N/m2. A cylindrical guitar string is to be made of 4.00 g of this steel. (a) What are the length and radius of the longest and thinnest string that can be placed under a tension of 900 N without breaking? (b) What is the highest fundamental frequency that this string could have?

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QUESTION:

Problem 83P

One type of steel has a density of 7.8 × 103 kg/m3 and a breaking stress of 7.0 × 108 N/m2. A cylindrical guitar string is to be made of 4.00 g of this steel. (a) What are the length and radius of the longest and thinnest string that can be placed under a tension of 900 N without breaking? (b) What is the highest fundamental frequency that this string could have?

ANSWER:

Solution 55P

Step 1 of 4:

Given data,

  • Density of steel, =7.8
  • Tension or force, F= 900 N
  • Mass of the string made of steel, m=4 g

Using 1g =                                m=4kg

  • Breaking Stress of the steel, s=7

To find,

Radius of the string, r=?

Length of the string, L=?

Highest fundamental frequency in string, f=?

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